Question

hey guys please help me in solving this....please​

Answer 1

Step-by-step explanation:

⇒ log ( 3x² + 11x ) base 4 > 1

⇒ ( 3x² + 11x ) > 4

⇒ 3x² + 11x - 4 > 0

⇒ 3x² + 12x - x - 4 > 0

⇒ 3x( x + 4 ) - 1( x + 4 ) > 0

⇒ ( 3x - 1 ) ( x + 4 ) > 0

⇒ ( 3x - 1 ) > 0 (or) ( x + 4 ) > 0

⇒ x = $\frac{1}{3}$ (or) x = -4

Therefore, x belongs to [ -4,$\frac{1}{3}$ ]

$<marquee>Hope this helps you mate$